# How do you determine if the equation y = (2/3)^x represents exponential growth or decay?

Apr 15, 2018

#### Explanation:

Exponential function: $y = a {b}^{x}$

If it is exponential decay, $b$ will be smaller than $1$ and greater than $0$

If it is is exponential growth, $b$ will be greater than $1$

Here, $b$ is $\frac{2}{3}$

$\frac{2}{3}$ is smaller than $1$ but greater than $0$. Thus, the equation must be exponential decay